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Continuous multi-line queues and TASEP
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.).
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.).ORCID-id: 0000-0001-6339-2230
2018 (engelsk)Inngår i: ANNALES DE L INSTITUT HENRI POINCARE D, ISSN 2308-5827, Vol. 5, nr 1, s. 127-152Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

In this paper, we study a distribution Xi of labeled particles on a continuous ring. It arises in three different ways, all related to the multi-type TASEP on a ring. We prove formulas for the probability density function for some permutations and give conjectures for a larger class. We give a complete conjecture for the probability of two particles i, j being next to each other on the cycle, for which we prove some cases. We also find that two natural events associated to the process have exactly the same probability expressed as a Vandermonde determinant. It is unclear whether this is just a coincidence or a consequence of a deeper connection.

sted, utgiver, år, opplag, sider
EUROPEAN MATHEMATICAL SOC , 2018. Vol. 5, nr 1, s. 127-152
Emneord [en]
TASEP, exclusion process, multiline queue
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Identifikatorer
URN: urn:nbn:se:kth:diva-225330DOI: 10.4171/AIHPD/50ISI: 000425844000004Scopus ID: 2-s2.0-85042924103OAI: oai:DiVA.org:kth-225330DiVA, id: diva2:1194618
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QC 20180403

Tilgjengelig fra: 2018-04-03 Laget: 2018-04-03 Sist oppdatert: 2024-03-18bibliografisk kontrollert

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